The following differential equation was used in Sec. 8.4 to analyze the vibrations of an automobile shock

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The following differential equation was used in Sec. 8.4 to analyze the vibrations of an automobile shock absorber:

1.25 x 106 d2x/dt2 + 1 x 107 dx/dt + 1.5 x 109x = 0

Transform this equation into a pair of ODEs.

(a) Use MATLAB to solve these equations from t = 0 to 0.4 for the case where x = 0.5, and dx/dt = 0 at t = 0.

(b) Use MATLAB to determine the eigenvalues and eigenvectors for the system.

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Numerical Methods For Engineers

ISBN: 9780071244299

5th Edition

Authors: Steven C. Chapra, Raymond P. Canale

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Question Posted: Dec 13, 2011 10:11 AM

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The following differential equation was used in Sec. 8.4 to analyze the vibrations of an automobile shock

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a First the 2ndorder ODE can be reexpressed as the following system of 1storder ODEs Next we creat...View the full answer

Numerical Methods For Engineers

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